Dyckhoff and Pinto present a weakly normalising system of reductions
on derivations in the cut-free intuitionistic sequent calculus,
where the normal derivations are characterised as the fixed points
of the composition of the Prawitz translations into natural deduction
and back. This paper presents a formalisation of the system, including
a proof of the weak normalisation property for the formalisation.
More details can be found in earlier work by the author. The formalisation
has been kept as close as possible to the original presentation
to allow an evaluation of the state of proof assistance for such
methods, and to ensure similarity of methods, and not merely similarity
of results. The formalisation is restricted to the implicational
fragment of intuitionistic logic.